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Finding the Third Proportional to 206,979.05 and 321,796.55

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Solution

The third proportional to 206,979.05 and 321,796.55 is: 500,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,979.05 : 321,796.55 = 321,796.55 : x
  2. Step 2: Convert to fraction form
    206,979.05/321,796.55 = 321,796.55/x
  3. Step 3: Cross multiply
    206,979.05x = 321,796.55 × 321,796.55
  4. Step 4: Simplify right side
    206,979.05x = 103,553,017,580.67
  5. Step 5: Solve for x
    x = 103,553,017,580.67/206,979.05
  6. Step 6: Final answer
    x = 500,306.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.